Ebi Rogha said:
a) Can we convert energy to mass (matter) in every day life?
b) When we charge a phone battery, its mass (weight) increases according to E=mc2 . Does it mean we convert energy to matter? If not, how its mass increases?
Mass is defined as energy measured in COM frame of reference where total momentum is zero. If such COM system does not exist, there is no defined mass but energy, e.g. a photon.
An electron and a positron pair, we may say they are matter, is generated from two photons. These photons have energy and also mass because two photon have their COM frame of reference. Mass keep existing before and after the reaction. So we know when the final state has material, both energy and mass are conserved before and after. I do not think chemists would admit two photons are material.
When you charge battery chemical state of the battery changes. When you warm battery its molecules do more thermal motion.
Energy and mass increase in both. Although molecular configuration or motion change, the number of molecules do not change.
I do not think chemists say material increase in both the cases.
[EDIT]
> If such COM system does not exist, there is no defined mass but energy, e.g. a photon.
Though there is no such COM frame of reference, zero mass is assigned to a photon particle because its dispersion relation ##E=pc## is included in general relation ##E^2=p^2c^2+m^2c^4##.